My Math Forum Geometric Linkage Question

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September 15th, 2013, 07:40 AM   #1
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Hi everyone
I am new to this forum so apologies if I have not posted in the correct place.
Lengths A and B make up a fixed length that does not move or pivot. Attached at two known points along this are lengths C and E which represent two bars/rods of fixed length but are able to pivot. Attached at the end of these two bars is another length, D, which makes up one side of a fixed-length tringle (or rocker). Each black dot represents where connected lines can pivot. Length X is a distance between the two points and does not represent an actual object (therefore this length CAN change).

Every length in the image is known, it is just the angles (and therefore posoition of the pivoting parts) that I need to find out. I can calculate this if I know one of the angles involved (e.g. the angle that line C is from horizontal), using trig, however I need to be able to calculated it from the length X. What I mean is that I need to find the position of all the pivoting links when a specified distance is given for distance X, i.e. where all the links would be if the linkage were pivoted until X is the specified distance.

Thank you for your help, I hope I have explained this well enough.
Attached Images
 Connecting-rod rocker linkage geometry image3.jpg (8.2 KB, 312 views)

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